Question

Match the following columns:

Column I	Column II
(a) Any line parallel to the x-axis is	(p) 3
(b) Any line parallel to the y-axis is	(q) y = mx
(c) Any line passing through the origin is	(r) x = k
(d) If the point (−2, 2) lies on the line ax + 4y = 2, then a =	(s) y = k

(a) ......,
(b) ......,
(c) ......,
(d) ......,

Answer 1

(a) Any line parallel to the $\text{x}$-axis is $y=k$.
(b) Any line parallel to the $y$-axis is $x=k$.
(c) Any line passing through the origin is $y=mx$.
(d) The point (-2, 2) lies on the line $ax+4y=2$.
Putting $x=-2,y=2$ in the equation, we get:

$$\begin{gathered} -2a+8=2 \\ \Rightarrow -2a=2-8=-6 \\ \Rightarrow a=\frac{-6}{-2}=3 \end{gathered}$$

Column I	Column II
(a) Any line parallel to the $\text{x}$-axis is	(s) $y=k$
(b) Any line parallel to the $y$-axis is	(r) $x=k$
(c) Any line passing through the origin is	(q) $y=mx$
(d) If the point (-2, 2) lies on the line $ax+4y=2$, then $a=$	(p) 3